Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680cv |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
108391219200 = 214 · 37 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14268,-655792] |
[a1,a2,a3,a4,a6] |
j |
26894628304/9075 |
j-invariant |
L |
1.7473405891724 |
L(r)(E,1)/r! |
Ω |
0.43683514729349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680m2 7920bg2 10560bs2 |
Quadratic twists by: -4 8 -3 |